Название: Graph-Based Modelling in Science, Technology and ArtАвтор: Stanislaw Zawislak, Jacek Rysinski
Издательство: Springer
Серия: Mechanisms and Machine Science
Год: 2022
Страниц: 311
Язык: английский
Формат: pdf (true)
Размер: 10.5 MB
This book presents interdisciplinary, cutting-edge and creative applications of graph theory and modeling in science, technology, architecture and art. Topics are divided into three parts: the first one examines mechanical problems related to gears, planetary gears and engineering installations; the second one explores graph-based methods applied to medical analyses as well as biological and chemical modeling; and the third part includes various topics e.g. drama analysis, aiding of design activities and network visualisation. The authors represent several countries in Europe and America, and their contributions show how different, useful and fruitful the utilization of graphs in modelling of engineering systems can be. The book has been designed to serve readers interested in the subject of graph modelling and those with expertise in related areas, as well as members of the worldwide community of graph modelers.
Graph theory is an area of discrete mathematics. It is commonly believed that the paper of Leonhard Euler from 1736 on Konigsberg Bridges originated scientific investigations in this field. Arthur Cayley and Gustav Kirchhoff are commonly considered as other founding fathers of graph theory. So, taking into consideration the fields from which graphs were originated, we can state that there were logistics, chemistry and electrical engineering. Due to mechanical–electrical analogies, the proposals were issued on a possibility of an analysis of mechanical systems by means of this "tool".
We are solving problems in such a way because graph modeling gives encoding algebraic structures which can be stored, considered and processed in computer programs. Moreover, graph theory evolved into some new subbranches, for example, algorithmic graph theory, enumerative graph theory and graph drawing methodologies, which allow for visualization, algorithmic calculations and performing tasks by means of reliable and commercial software, e.g., in case of bond graphs. In many cases, the graph algorithms are theoretically proved to be correct, convergent and effective. The aim of the book is to show some graph application in the above described way. The chapters collected in the book are related to different fields of knowledge, according to its title.
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